Hey, all. Here is the initial problem:
What it the volume of the solid inside both the regions:
I set the integral up as follows:
But that doesn't work for some reason, because taking θ from -π/2 to π/2 cancels out, and instead, we have to take θ from π to 2π, like so:
I don't understand why that is.
EDIT: I also don't understand why my LaTeX notation isn't working. Not even simple **** like .
EDIT #2: Is it perhaps because both r and θ need to be positive when finding a volume? If so, why would that be true for volume but not area?